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Finding the Third Proportional to 159,444 and 346,914

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Solution

The third proportional to 159,444 and 346,914 is: 754,806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,444 : 346,914 = 346,914 : x
  2. Step 2: Convert to fraction form
    159,444/346,914 = 346,914/x
  3. Step 3: Cross multiply
    159,444x = 346,914 × 346,914
  4. Step 4: Simplify right side
    159,444x = 120,349,323,396
  5. Step 5: Solve for x
    x = 120,349,323,396/159,444
  6. Step 6: Final answer
    x = 754,806.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.